Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms351×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
8.2b
(* t (* y (- x z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
20.0ms
(* y (- x z))
32.0ms
(* t (* y (- x z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* y (- x z))
46.0ms
(* t (* y (- x z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune99.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

7.8b
(* (* t y) (- x z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
28.0ms
(* (* t y) (- x z))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (* t y) (- x z))

simplify100.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune57.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
8.2b
(* t (* 1 (* y (- x z))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
26×distribute-rgt-in distribute-lft-in
18×add-exp-log
13×pow1 add-cbrt-cube
12×prod-exp
10×sub-neg
9×add-sqr-sqrt
8×associate-*r/
7×*-un-lft-identity pow-prod-down cbrt-unprod
6×associate-*r* associate-*l*
5×add-cube-cbrt
2×flip3-- 1-exp *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 67
Calls
2 calls:
20.0ms
(* y (- x z))
78.0ms
(* t (* 1 (* y (- x z))))

series83.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- x z))
46.0ms
(* t (* 1 (* y (- x z))))

simplify36.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306319
11328280
25002274

prune103.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
2.7b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
5.3b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
4.0ms
(cbrt (- x z))
5.0ms
(cbrt (- x z))
211.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
61.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- x z))
156.0ms
(cbrt (- x z))
46.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
93.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05511479
121031275
250011217

prune275.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

58.6% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.6b

bsearch61.0ms

Steps
ItersRangePoint
9
2908035933644.0933
3.911229764281745e+17
38654863710312.24
7
-6.814723207604201e+42
-1.9305807236089083e+41
-3.4272240888181568e+41

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0277
1297
2297

end0.0ms

sample605.0ms

Algorithm
intervals
Results
250.0ms10668×body80valid